Float Vs Boolean: The Shower Edition

Shower temperature control is just like variable types in programming. Regular showers have float temperature with infinite precision between hot and cold. Meanwhile, my shower apparently runs on boolean temperature - either Antarctica or Satan's hot tub, with absolutely nothing in between. Turning the knob half a millimeter is the difference between hypothermia and third-degree burns. It's like my shower was programmed by the same intern who thought binary search was just looking for 1s and 0s.